Nanoscale Turing patterns in a bismuth monolayer

  title={Nanoscale Turing patterns in a bismuth monolayer},
  author={Yuki Fuseya and Hiroyasu Katsuno and Kamran Behnia and Aharon Kapitulnik},
  journal={Nature Physics},
Turing’s reaction–diffusion theory of morphogenesis has been very successful for understanding macroscopic patterns within complex objects ranging from biological systems to sand dunes. However, Turing patterns on microscopic length scales are extremely rare. Here we show that a strained atomic bismuth monolayer assembled on the surface of NbSe2—and subject to interatomic interactions and kinetics—displays Turing patterns. Our reaction–diffusion model produces stripe patterns with a period of… 

Homogeneous solution assembled Turing structures with near zero strain semi-coherence interface

Turing structures typically emerge in reaction-diffusion processes far from thermodynamic equilibrium, involving at least two chemicals with different diffusion coefficients (inhibitors and

Turing instability in quantum activator–inhibitor systems

Turing instability is a fundamental mechanism of nonequilibrium self-organization. However, despite the universality of its essential mechanism, Turing instability has thus far been investigated

Boundary Conditions Cause Different Generic Bifurcation Structures in Turing Systems

  • T. Woolley
  • Engineering
    Bulletin of mathematical biology
  • 2022
Turing’s theory of morphogenesis is a generic mechanism to produce spatial patterning from near homogeneity. Although widely studied, we are still able to generate new results by returning to common

Quantum Turing bifurcation: Transition from quantum amplitude death to quantum oscillation death.

This study explores the paradigmatic Turing bifurcation at the quantum-classical interface and opens up the door toward its broader understanding.

Nanotip Formation from Liquid Metals for Soft Electronic Junctions.

A high accuracy nanometric three-dimensional pulling and stretching method to fabricate liquid-metal-based nanotips from room- or near-room-temperature gallium-based alloys with Ohmic and semiconducting behaviors will lead to exciting avenues for developing electronic and sensing devices.

Phase Transformation-Induced Quantum Dot States on the Bi/Si(111) Surface.

Nanopatterns at near atomic dimensions with controllable quantum dot states (QDSs) are promising candidates for the continued downscaling of electronic devices. Herein, we report a phase

70 years of Turing patterns



Transition from a uniform state to hexagonal and striped Turing patterns

CHEMICAL travelling waves have been studied experimentally for more than two decades1–5, but the stationary patterns predicted by Turing6 in 1952 were observed only recently7–9, as patterns localized

Polyamide membranes with nanoscale Turing structures for water purification

This work uses a facile route based on interfacial polymerization to generate Turing-type polyamide membranes for water purification that exhibit excellent water-salt separation performance that surpasses the upper-bound line of traditional desalination membranes.

Nanoscale Turing structures.

The authors' simulations suggest that Turing patterns can be a method of self-organization at a length scale of down to 20 molecular diameters.

An Experimental Design Method Leading to Chemical Turing Patterns

An experimental method was designed to search for other examples of Turing pattern–generating reactions based on three criteria—that the reaction can develop spatial bistability, that independent control of the negative feedback reaction can be achieved, and the activating and inhibiting processes can be decoupled by slowing down the diffusing species with a complexing agent.

Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation

The essence of this theory for experimental biologists unfamiliar with the response-diffusion model is described, using examples from experimental studies in which the RD model is effectively incorporated.

A reaction–diffusion wave on the skin of the marine angelfish Pomacanthus

The striking similarity between the actual and simulated pattern rearrangement strongly suggests that a reaction–diffusion wave is a viable mechanism for the stripe pattern of Pomacanthus.

Bursting at the seams: Rippled monolayer bismuth on NbSe2

A new growth pattern for bismuth monolayers on NbSe2 is shown and it is found that the initial growth of Bi can form a strongly bonded commensurate layer, resulting in a compressively strained two-dimensional (2D) triangular lattice.

The chemical basis of morphogenesis

  • A. Turing
  • Environmental Science
    Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences
  • 1952
A possible mechanism by which the genes of a zygote may determine the anatomical structure of the resulting organism is discussed, suggesting that certain well-known physical laws are sufficient to account for many of the facts.

Transport Properties and Diamagnetism of Dirac Electrons in Bismuth

Bismuth crystal is known for its remarkable properties resulting from particular electronic states, e. g., the Shubnikov-de Haas effect and the de Haas-van Alphen effect. Above all, the large

Instability-driven formation of domains in the intermediate state of type-I superconductors

The formation of normal-state domains in type-I superconducting indium films is investigated using the high-resolution magneto-optical imaging technique. The observed patterns consist of coexisting